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Finding the Third Proportional to 197,998 and 262,546

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Solution

The third proportional to 197,998 and 262,546 is: 348,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,998 : 262,546 = 262,546 : x
  2. Step 2: Convert to fraction form
    197,998/262,546 = 262,546/x
  3. Step 3: Cross multiply
    197,998x = 262,546 × 262,546
  4. Step 4: Simplify right side
    197,998x = 68,930,402,116
  5. Step 5: Solve for x
    x = 68,930,402,116/197,998
  6. Step 6: Final answer
    x = 348,136.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.